#include #include #include #include #include #include #include #define rep(i, a, b) for (int i = int(a); i < int(b); i++) using namespace std; using ll = long long int; using P = pair; // clang-format off #ifdef _DEBUG_ #define dump(...) do{ cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; debug_print(__VA_ARGS__); } while(false) template void debug_print(const T &t, const Ts &...ts) { cerr << t; ((cerr << ", " << ts), ...); cerr << endl; } #else #define dump(...) do{ } while(false) #endif template vector make_v(size_t a, T b) { return vector(a, b); } template auto make_v(size_t a, Ts... ts) { return vector(a, make_v(ts...)); } template bool chmin(T &a, const T& b) { if (a > b) {a = b; return true; } return false; } template bool chmax(T &a, const T& b) { if (a < b) {a = b; return true; } return false; } template void print(const T& t, const Ts&... ts) { cout << t; ((cout << ' ' << ts), ...); cout << '\n'; } template void input(Ts&... ts) { (cin >> ... >> ts); } template istream &operator,(istream &in, T &t) { return in >> t; } // clang-format on int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; input(n); int len = 1; while (len * len <= n) { len++; } vector length; for (int i = 1; i < len; i += 2) { length.push_back(i); } for (int i = (len - 1) / 2 * 2; i >= 2; i -= 2) { length.push_back(i); } length.push_back(0); reverse(length.begin(), length.end()); const int inf = 1 << 29; auto dp = make_v(len, n + 1, inf); dp[0][0] = 0; rep(i, 1, len) { int val = length[i]; rep(j, val * val, n + 1) { if (dp[i - 1][j - val * val] < inf) { chmin(dp[i][j], dp[i - 1][j - val * val] + val); } if (dp[i][j - val * val] < inf) { chmin(dp[i][j], dp[i][j - val * val] + val); } } rep(j, 0, n + 1) { chmin(dp[i][j], dp[i - 1][j]); } } dump(dp[len - 1][n]); int sum = n, idx = len - 1; int zero = 0; auto display = [&](int l) { rep(i, 0, l) { cout << char((zero + i) % 2 + '0'); } zero = (zero + l * l + 1) % 2; }; while (sum > 0) { int val = length[idx]; if (sum >= val * val && dp[idx][sum] == dp[idx][sum - val * val] + val) { display(val); sum -= val * val; } else if (sum >= val * val && dp[idx][sum] == dp[idx - 1][sum - val * val] + val) { display(val); sum -= val * val; idx--; } else { idx--; } } cout << endl; return 0; }